Introduction to Mechanics of Deformable Solids |
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Page 55
It requires only that the outer circle , the inner circle , and all concentric circles
between the two remain concentric circles at all times . Absolute angular rotation
is not the significant quantity in the twisting of a tube . This is obvious when the
tube ...
It requires only that the outer circle , the inner circle , and all concentric circles
between the two remain concentric circles at all times . Absolute angular rotation
is not the significant quantity in the twisting of a tube . This is obvious when the
tube ...
Page 57
5 , the shear strain y at the outer surface is this constant angle of tilt , the change
in angle from the original 90° between the direction of the generator and any one
of the outer circles . Therefore , as illustrated in Fig . 4 . 9 , tan y is given by the ...
5 , the shear strain y at the outer surface is this constant angle of tilt , the change
in angle from the original 90° between the direction of the generator and any one
of the outer circles . Therefore , as illustrated in Fig . 4 . 9 , tan y is given by the ...
Page 160
y = rų / L , and the equilibrium relation 7 = T / ra , T , L on " = Gn ( Anrn ? ) The
inner tube , subscript n = 1 , and the outer tube , subscript n = 2 , need not have
the same shear modulus G or area of cross section A . The condition of
deformation ...
y = rų / L , and the equilibrium relation 7 = T / ra , T , L on " = Gn ( Anrn ? ) The
inner tube , subscript n = 1 , and the outer tube , subscript n = 2 , need not have
the same shear modulus G or area of cross section A . The condition of
deformation ...
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actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve cylinder deflection deformation determined diameter direction displacement effect elastic equal equation equilibrium example Figure Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment needed nonlinear normal obtained outer plane plastic positive pressure principal Prob problem produced pure radius range ratio relation replaced requires residual response result rotation shaft shear stress shell shown shows simple sketch solid solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled torsion tube twisting uniform unloading versus viscous yield zero